As scattering by electrons in the ground states of Ne and Ar involve only K-, L- and M- shell
electrons, we can use the simplified expressions [1]}, [2]}
\(\left( \begin{array}{cc}g_{\kappa _{i},E_{i}}(r) \\f_{\kappa _{i},E_{i}}(r)\end{array}\right)& = &N_{i} \left( \begin{array}{cc}\sqrt{m_{e}+E_{i}} \\- \sqrt{m_{e}-E_{i}}\end{array}\right) (2 \lambda _{i} r)^{\gamma _{i}}e^{-\lambda _{i}r}\nonumber \\&& \times \left[ \left( \begin{array} {cc}c_{0} \\a_{0}\end{array} \right) + \left( \begin{array} {cc}c_{1} \\a_{1}\end{array} \right) \lambda _{i} r \right.\nonumber \\&& \left. + \left( \begin{array} {cc}c_{2} \\a_{2}\end{array} \right) (\lambda _{i} r)^{2} \right]\) 
